C₃×(C₁₂₇⋊C₃)⋊C₂₇ #44525200

order	30861
automorphism	?
homology	Abelianization (H₁) = C₃²×C₂₇ · Schur multiplier (H₂) = C₃³

Aliases

direct product	C₃×(C₁₂₇⋊C₃)⋊C₂₇
unambiguous semidirect product	(C₁₂₇⋊C₃)⋊(C₃×C₂₇)

C₁₂₇ ⋊ C₃²×C₂₇

144 conjugacy classes of subgroups.

μ_t(G) = 10287

621 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30861, 354);